Are there any (symbolic/algebric) mathematical tools/software particularly to perform all lengthy calculations of Variational Calculus in Structural mechanics (such as, deriving governing equations and boundary conditions of structures like plates, shells etc. from their Energy functionals, integration by-parts in 2D and 3D cases, analytical Finite element methods etc.) ?, Or people do always such calculations by hand?
Once I had come across the Mathematica script for mathematical modelling of systems through variational calculus. However, I lost it due to malfunctioning of my laptop. I wasn't able to check it as I wasn't used to Mathematica.
Based on my experience, doing this through Mathematica is pretty straightforward. You need to use the "VariationalMethods`" package. Check the following link for details.
https://reference.wolfram.com/language/VariationalMethods/tutorial/VariationalMethods.html
- Badges
- Science topic